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Finding the Fourth Proportional to 1,218.27, 1,827.02 and 396.36

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Solution

The fourth proportional to 1,218.27, 1,827.02 and 396.36 is: 594.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.27 : 1,827.02 = 396.36 : x
  2. Step 2: Convert to fraction form
    1,218.27/1,827.02 = 396.36/x
  3. Step 3: Cross multiply
    1,218.27x = 1,827.02 × 396.36
  4. Step 4: Simplify right side
    1,218.27x = 724,155.67
  5. Step 5: Solve for x
    x = 724,155.67/1,218.27
  6. Step 6: Final answer
    x = 594.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.